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Finding the Fourth Proportional to 10,686.49, 14,737.77 and 6,905.68

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Solution

The fourth proportional to 10,686.49, 14,737.77 and 6,905.68 is: 9,523.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,686.49 : 14,737.77 = 6,905.68 : x
  2. Step 2: Convert to fraction form
    10,686.49/14,737.77 = 6,905.68/x
  3. Step 3: Cross multiply
    10,686.49x = 14,737.77 × 6,905.68
  4. Step 4: Simplify right side
    10,686.49x = 101,774,323.53
  5. Step 5: Solve for x
    x = 101,774,323.53/10,686.49
  6. Step 6: Final answer
    x = 9,523.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.